Eliminative materialism is the thesis that our common-sense conception of psychological phenomena constitutes a radically false theory, a theory so fundamentally defective that both the principles and the ontology of that theory will eventually be displaced, rather than smoothly reduced, by completed neuroscience. Our mutual understanding and even our introspection may then be reconstituted within the conceptual framework of completed neuroscience, a theory we may expect to be more powerful by far than the common-sense psychology it displaces, and more substantially (...) integrated within physical science generally. My purpose in this paper is to explore these projections, especially as they bear on (1) the principal elements of common-sense psychology: the propositional attitudes (beliefs, desires, etc.), and (2) the conception of rationality in which these elements figure. (shrink)

Aggregating individuals’ consistent attitudes might produce inconsistent collective attitudes. Some groups therefore need the capacity to form attitudes that are irreducible to those of their members. Such groups, group-agent realists argue, are agents in control of their own attitude formation. In this paper, however, I show how group-agent realism overlooks the important fact that groups consist of strategically interacting agents. Only by eliminating group agency from our social explanations can we see how individuals vote strategically to gain control of their (...) groups and produce collective attitudes we cannot make sense of if we treat groups as agents. (shrink)

Pluralisms of various sorts are popular in philosophy of science, including those that imply some scientific concept x should be eliminated from science in favour of a plurality of concepts x1, x2, … xn. This article focuses on influential and representative arguments for such eliminative pluralism about the concept species. The main conclusions are that these arguments fail, that all other extant arguments also fail, and that this reveals a quite general dilemma, one that poses a defeasible presumption against many (...) eliminative pluralisms about various scientific concepts. The article ends by outlining a novel integrative alternative in defence of species. 1) Introduction 2) The species Concept, the Category ‘Species’, and the ‘Species’ Category Problem 3) What Are Eliminative Pluralism about species, and the Arguments for It? 4) Evaluation of Arguments 4.1 Splitting? 4.2 Lumping? 4.3 The eliminative pluralist’s dilemma 5) More General Lessons6Species Cohesion: An Integrative Alternative7Conclusion. (shrink)

Building on past constructive criticism, the present study provides further methodological development focused on the elimination of bias that may occur during first-person observation. First, various sources of errors that may accompany introspection are distinguished based on previous critical literature. Four main errors are classified, namely attentional, attributional, conceptual, and expressional error. Furthermore, methodological recommendations for the possible elimination of these errors have been determined based on the analysis and focused excerpting of introspective scientific literature. The following groups (...) of methodological recommendations were determined: 1) a better focusing of the subject’s attention to their mental processes, 2) providing suitable stimuli, and 3) the sharing of introspective experience between subjects. Furthermore, the potential of adjustments in introspective research designs for eliminating attentional, attributional, conceptual, and expressional error is discussed. (shrink)

Animalism is the view that we are animals: living, breathing, wholly material beings. Despite its considerable appeal, animalism has come under fire. Other philosophers have had much to say about objections to animalism that stem from reflection on personal identity over time. But one promising objection (the `Elimination Argument') has been overlooked. In this paper, I remedy this situation and examine the Elimination Argument in some detail. I contend that the Elimination Argument is both unsound and unmotivated.

A semantic embedding of quantified conditional logic in classical higher-order logic is utilized for reducing cut-elimination in the former logic to existing results for the latter logic. The presented embedding approach is adaptable to a wide range of other logics, for many of which cut-elimination is still open. However, special attention has to be payed to cut-simulation, which may render cut-elimination as a pointless criterion.

Inferentialism claims that expressions are meaningful by virtue of rules governing their use. In particular, logical expressions are autonomous if given meaning by their introduction-rules, rules specifying the grounds for assertion of propositions containing them. If the elimination-rules do no more, and no less, than is justified by the introduction-rules, the rules satisfy what Prawitz, following Lorenzen, called an inversion principle. This connection between rules leads to a general form of elimination-rule, and when the rules have this form, (...) they may be said to exhibit “general-elimination” harmony. Ge-harmony ensures that the meaning of a logical expression is clearly visible in its I-rule, and that the I- and E-rules are coherent, in encapsulating the same meaning. However, it does not ensure that the resulting logical system is normalizable, nor that it satisfies the conservative extension property, nor that it is consistent. Thus harmony should not be identified with any of these notions. (shrink)

In Tulving’s initial characterization, episodic memory was one of multiple memory systems. It was postulated, in pursuit of explanatory depth, as displaying proprietary operations, representations, and substrates such as to explain a range of cognitive, behavioural, and experiential phenomena. Yet the subsequent development of this research program has, paradoxically, introduced surprising doubts about the nature, and indeed existence, of episodic memory. On dominant versions of the ‘common system’ view, on which a single simulation system underlies both remembering and imagining, there (...) are no processes unique to memory to support robust generalizations with inductive potential. Eliminativism about episodic memory seems to follow from the claim that it has no dedicated neurocognitive system of its own. After identifying this under-noticed threat, we push back against modern eliminativists by surveying recent evidence that still indicates specialized mechanisms, computations, and representations that are distinctly mnemic in character. We argue that contemporary realists about episodic memory can retain lessons of the common system approach while resisting the further move to eliminativism. (shrink)

The system GLS, which is a modal sequent calculus system for the provability logic GL, was introduced by G. Sambin and S. Valentini in Journal of Philosophical Logic, 11, 311–342,, and in 12, 471–476,, the second author presented a syntactic cut-elimination proof for GLS. In this paper, we will use regress trees in order to present a simpler and more intuitive syntactic cut derivability proof for GLS1, which is a variant of GLS without the cut rule.

Peter Lipton argues that inference to the best explanation involves the selection of a hypothesis on the basis of its loveliness. I argue that in optimal cases of IBE we may be able to eliminate all but one of the hypotheses. In such cases we have a form of eliminative induction takes place, which I call ‘Holmesian inference’. I argue that Lipton’s example in which Ignaz Semmelweis identified a cause of puerperal fever better illustrates Holmesian inference than Liptonian IBE. I (...) consider in detail the conditions under which Holmesian inference is possible and conclude by considering the epistemological relations between Holmesian inference and Liptonian IBE.Keywords: Inference to the best explanation; Peter Lipton; Abduction; Holmesian inference; Eliminative induction. (shrink)

Eliminative materialism (or eliminativism) is the radical claim that our ordinary, common-sense understanding of the mind is deeply wrong and that some or all of the mental states posited by common-sense do not actually exist. Descartes famously challenged much of what we take for granted, but he insisted that, for the most part, we can be confident about the content of our own minds. Eliminative materialists go further than Descartes on this point, since they challenge of the existence of various (...) mental states that Descartes took for granted. (shrink)

A uniform construction for sequent calculi for finite-valued first-order logics with distribution quantifiers is exhibited. Completeness, cut-elimination and midsequent theorems are established. As an application, an analog of Herbrand’s theorem for the four-valued knowledge-representation logic of Belnap and Ginsberg is presented. It is indicated how this theorem can be used for reasoning about knowledge bases with incomplete and inconsistent information.

The twin Theses of Eliminative and Multiplicative Materialism will be analyzed and then subsumed by Occam's sword.

In this paper we first give a survey of reductive cut-elimination methods in classical logic. In particular we describe the methods of Gentzen and Schütte-Tait from the abstract point of view of proof reduction. We also present the method CERES which we classify as a semi-semantic method. In a further section we describe the so-called semantic methods. In the second part of the paper we carry the proof analysis further by generalizing the CERES method to CERESD . In the (...) generalized version CERESD we admit general elimination rules which are based on the mere semantical truth of sentences. We construct complete cut-free LK-derivations originating from derivations potentially containing unproven lemmas. Finally we give a comparison of reductive methods and CERESD by presenting a general simulation result. (shrink)

In this paper my aim is to get clearer on what eliminative materialism actually does and does not entail. I look closely at one cluster of views that is often described as a form of eliminativism in contemporary philosophy and cognitive science and try to show that this characterization is a mistake. More specifically, I look at conceptions of eliminativism recently endorsed by writers such as Edouard Machery, Paul Griffiths, Valerie Hardcastle and others, and argue that although these views do (...) endorse the elimination of something, they offer only what I will call a sort of category dissolution, and should be treated as something altogether different from traditional eliminativism. Spelling out the main contrast between eliminative materialism proper and this alternative view, and defending the need to keep them distinct, is my primary objective. As I show, a central irony is that proponents of the problematic outlook often insist that divergent things should not be classified together under a single label. By characterizing their own views as a form of eliminativism, they commit a fundamental error that they themselves argue should not be made. While my focus here is on eliminative materialism, the error I intend to highlight appears across various discussions about alleged eliminativism of all sorts of things. (shrink)

The identity theory was called into doubt not because the prospects for a materialist account of our mental capacities were thought to be poor, but because it seemed unlikely that the arrival of an adequate materialist theory would bring with it the nice one-to-one match-ups, between the concepts of folk psychology and the concepts of theoretical neuroscience, that intertheoretic reduction requires. The reason for that doubt was the great variety of quite different physical systems that could instantiate the required functional (...) organization. Eliminative materialism also doubts that the correct neuroscientific account of human capacities will produce a neat reduction of our common-sense framework, but here the doubts arise from a quite different source. (shrink)

The Buddhist no-self and no-person revisionary metaphysics aims to produce a better structure that is motivated by the normative goal of eliminating, or at least reducing, suffering. The revised structure, in turn, entails a major reconsideration of our ordinary everyday person-related concerns and practices and interpersonal attitudes, such as moral responsibility, praise and blame, compensation, and social treatment. This essay explores the extent to which we must alter and perhaps discard some of our practical commitments in light of the Buddhist (...) revisionism. I do not argue here that we should change our ordinary practices, concerns, and attitudes, or that the Buddhist metaphysics does succeed in presenting a better structure. Rather, I offer it as an alternative structure that should be considered seriously. (shrink)

General-elimination harmony articulates Gentzen’s idea that the elimination-rules are justified if they infer from an assertion no more than can already be inferred from the grounds for making it. Dummett described the rules as not only harmonious but stable if the E-rules allow one to infer no more and no less than the I-rules justify. Pfenning and Davies call the rules locally complete if the E-rules are strong enough to allow one to infer the original judgement. A method (...) is given of generating harmonious general-elimination rules from a collection of I-rules. We show that the general-elimination rules satisfy Pfenning and Davies’ test for local completeness, but question whether that is enough to show that they are stable. Alternative conditions for stability are considered, including equivalence between the introduction- and elimination-meanings of a connective, and recovery of the grounds for assertion, finally generalizing the notion of local completeness to capture Dummett’s notion of stability satisfactorily. We show that the general-elimination rules meet the last of these conditions, and so are indeed not only harmonious but also stable. (shrink)

The phrase “minimal risk,” as defined in the United States’ federal research regulations, is ambiguous and poorly defined. This article argues that most of the ambiguity that one finds in the phrase stems from the “daily life risks” standard in the definition of minimal risk. In this article, the author argues that the daily life risks standard should be dropped and that “minimal risk” should be defined as simply “the probability and magnitude of the harm or discomfort anticipated in research (...) are not greater than those encountered during the performance of routine physical or psychological examinations or tests”. (shrink)

Ontic structural realism argues that structure is all there is. In (French, 2014) I argued for an ‘eliminativist’ version of this view, according to which the world should be conceived, metaphysically, as structure, and objects, at both the fundamental and ‘everyday’ levels, should be eliminated. This paper is a response to a number of profound concerns that have been raised, such as how we might distinguish between the kind of structure invoked by this view and mathematical structure in general, how (...) we should choose between eliminativist ontic structural realism and alternative metaphysical accounts such as dispositionalism, and how we should capture, in metaphysical terms, the relationship between structures and particles. In developing my response I shall touch on a number of broad issues, including the applicability of mathematics, the nature of representation and the relationship between metaphysics and science in general. (shrink)

During public health crises including the COVID-19 pandemic, resource scarcity and contagion risks may require health systems to shift—to some degree—from a usual clinical ethic, focused on the well-being of individual patients, to a public health ethic, focused on population health. Many triage policies exist that fall under the legal protections afforded by “crisis standards of care,” but they have key differences. We critically appraise one of the most fundamental differences among policies, namely the use of criteria to categorically exclude (...) certain patients from eligibility for otherwise standard medical services. We examine these categorical exclusion criteria from ethical, legal, disability, and implementation perspectives. Focusing our analysis on the most common type of exclusion criteria, which are disease-specific, we conclude that optimal policies for critical care resource allocation and the use of cardiopulmonary resuscitation (CPR) should not use categorical exclusions. We argue that the avoidance of categorical exclusions is often practically feasible, consistent with public health norms, and mitigates discrimination against persons with disabilities. (shrink)

From proofs in any classical first-order theory that proves the existence of at least two elements, one can eliminate definitions in polynomial time. From proofs in any classical first-order theory strong enough to code finite functions, including sequential theories, one can also eliminate Skolem functions in polynomial time.

A number of approaches to quantum gravity (QG) seem to imply that spacetime does not exist. Philosophers are quick to point out, however, that the loss of spacetime should not be regarded as total. Rather, we should interpret these approaches as ones that threaten the fundamentality but not the existence of spacetime. In this paper, I argue for two claims. First, I argue that spacetime realism is not forced by QG; spacetime eliminativism remains an option. Second, I argue that eliminativism (...) provides a useful framework for developing two existing approaches to the metaphysics of QG, involving functionalism and mereology respectively. (shrink)

“Applied ethics” has been the major growth area in North American philosophy in the last decade, yet a robust confidence and enthusiasm over its promise is far from universal in academic philosophy. It is considered nonphilosophical in West Germany, and has largely failed to penetrate British departments of philosophy. Whether it has any intellectually or pedagogically redeeming value is still widely debated in North America, where many who have tried to teach some area of applied ethics for the first time (...) have seen their courses grind to a halt in unresolvable quandaries, practical exigencies, or unavailable technical information. Consequently, some departments are at war over whether to hire or confer tenure on those who teach these subjects. Many also remain unconvinced that philosophical generalizations or theories can play any significant role in applied contexts. They may even doubt both that applied ethics is really ethics and that philosophy should accomodate this creature in its curriculum. (shrink)

Early in his career Richard Rorty became well known for advocating what became known as eliminative materialism. This position depended on the radical idea that the main elements of commonsense psychology, including ordinary sensations, do not really exist. This chapter argues that on a closer reading of Rorty's relevant articles, it is clear that Rorty was not an eliminative materialist in any normal sense, but rather a more conventional materialist who made some misguided claims about what mind–brain identity involves.

We shall prove quantifier elimination theorems for neocompact formulas, which define neocompact sets and are built from atomic formulas using finite disjunctions, infinite conjunctions, existential quantifiers, and bounded universal quantifiers. The neocompact sets were first introduced to provide an easy alternative to nonstandard methods of proving existence theorems in probability theory, where they behave like compact sets. The quantifier elimination theorems in this paper can be applied in a general setting to show that the family of neocompact sets (...) is countably compact. To provide the necessary setting we introduce the notion of a law structure. This notion was motivated by the probability law of a random variable. However, in this paper we discuss a variety of model theoretic examples of the notion in the light of our quantifier elimination results. (shrink)

A way is found to add axioms to sequent calculi that maintains the eliminability of cut, through the representation of axioms as rules of inference of a suitable form. By this method, the structural analysis of proofs is extended from pure logic to free-variable theories, covering all classical theories, and a wide class of constructive theories. All results are proved for systems in which also the rules of weakening and contraction can be eliminated. Applications include a system of predicate logic (...) with equality in which also cuts on the equality axioms are eliminated. (shrink)

This article argues for the elimination of the concept of life worth living from philosophical vocabulary on three complementary grounds. First, the basic components of this concept suffer from multiple ambiguities, which hamper attempts to ground informative evaluative and classificatory judgments about the worth of life. Second, the criteria proposed to track the extension of the concept of life worth living rest on unsupported axiological assumptions and fail to identify precise and plausible referents for this concept. And third, the (...) concept of life worth living is not shown to serve any major evaluative or classificatory purpose besides those served by already available axiological concepts. By eliminating the concept of life worth living, philosophers will free themselves of the task of addressing ill-posed axiological questions and ground reflection about the worth of life on more rigorous conceptual foundations. (shrink)

Eliminative reasoning seems to play an important role in the sciences, but should it be part of our best theory of science? Statistical evidence, prevalent across the sciences, causes problems for eliminative inference, supporting the view that probabilistic theories of confirmation provide a better framework for reasoning about evidence. Here I argue that deductive elimination has an important inferential role to play in science, one that is compatible with probabilistic approaches to evidence. Eliminative inferences help frame testing problems, an (...) essential step that determines the context for evaluating statistical evidence. I illustrate this process with examples from molecular evolutionary biology. (shrink)

When working with a first-order theory, it is often convenient to use definitions. That is, if ϕ(x) is a first-order formula with the free variables shown, one can introduce a new relation symbol R to abbreviate ϕ, with defining axiom ∀x (R(x) ↔ ϕ(x)). Of course, this definition can later be eliminated from a proof, simply by replacing every instance of R by ϕ. But suppose the proof involves nested definitions, with a sequence of relation symbols R0, . . . (...) , Rk abbreviating formulae ϕ0, . . . , ϕk, where each ϕi may have multiple occurrences of R0, . . . , Ri−1. In that case, the naive elimination procedure described above can yield an exponential increase in the length of the proof. In Section 2, I show that if the underlying theory proves that there are at least two elements in the universe, a more careful translation allows one to eliminate the new definitions with at most a polynomial increase in length. In fact, I will describe an explicit algorithm that can be implemented in polynomial time. The proof is not difficult, but it relies on the assumption that equality is included in the logic. A similar trick has been used by Solovay in simulating iterated definitions efficiently, as discussed in Section 3.2 of [Pudl´ak 1998]. Consequently, the result proved here may be folklore, but to my knowledge it has not appeared in the literature, and it is needed in Section 3. It is also sometimes convenient, in a first-order setting, to introduce Skolem func-. (shrink)

Advocates of eliminative materialism (EM) assure us that our current, ordinary approach to describing the mind will eventually be eliminated, instead of reduced, by a matured neuroscience. However, once we take into account the flexibility, explanatory power, and overall sophistication of ordinary language, then the promissory note offered by eliminative materialism loses all credibility. To bolster the preceding claim, we present three original problems for EM: the accountability problem, the substitution problem, and the discourse dependence problem.

John Rawls thinks republicanism is compatible with his political liberalism. Philip Pettit insists that the two conflict in important ways. In this paper, I make sense of this dispute by employing David Chalmers’s method of elimination to reveal the meaning underlying key terms in Rawls’s political liberalism and Pettit’s republicanism. This procedure of disambiguating terms will show how the two theories defend the same institutional arrangement on the same grounds. The procedure thus vindicates Rawls’s view of the two theories (...) being compatible. The reason for this compatibility is that both theories are politicized—that is, they are constructed to attract the compliance of all reasonable members of a modern, pluralistic society. (shrink)

This paper takes up the cause of species pluralism. An argument for species pluralism is provided and standard monist objections to pluralism are answered. A new form of species pluralism is developed and shown to be an improvement over previous forms. This paper also offers a general foundation on which to base a pluralistic approach to biological classification.

A number of approaches to quantum gravity (QG) seem to imply that spacetime does not exist. Philosophers are quick to point out, however, that the loss of spacetime should not be regarded as total. Rather, we should interpret these approaches as ones that threaten the fundamentality but not the existence of spacetime. In this paper, I argue for two claims. First, I argue that spacetime realism is not forced by QG; spacetime eliminativism remains an option. Second, I argue that eliminativism (...) provides a useful framework for developing two existing approaches to the metaphysics of QG, involving functionalism and mereology respectively. (shrink)

Although it was traditionally thought that self-reference is a crucial ingredient of semantic paradoxes, Yablo (1993, 2004) showed that this was not so by displaying an infinite series of sentences none of which is self-referential but which, taken together, are paradoxical. Yablo's paradox consists of a countable series of linearly ordered sentences s(0), s(1), s(2),... , where each s(i) says: For each k > i, s(k) is false (or equivalently: For no k > i is s(k) true). We generalize Yablo's (...) results along two dimensions. First, we study the behavior of generalized Yablo-series in which each sentence s(i) has the form: For Q k > i, s(k) is true, where Q is a generalized quantifier (e.g., no, every, infinitely many, etc). We show that under broad conditions all the sentences in the series must have the same truth value, and we derive a characterization of those values of Q for which the series is paradoxical. Second, we show that in the Strong Kleene trivalent logic Yablo's results are a special case of a more general fact: under certain conditions, any semantic phenomenon that involves self-reference can be emulated without self-reference. Various translation procedures that eliminate self-reference from a non-quantificational language are defined and characterized. An Appendix sketches an extension to quantificational languages, as well as a new argument that Yablo's paradox and the translations we offer do not involve self-reference. (shrink)

I argue, contrary to the consensus of most contemporary work in ethics, that there are no (fundamentally, distinctively) prudential reasons for action. That is to say: there is no class of reasons for action that is distinctively and fundamentally about the promotion of the agent’s own well-being. Considerations to do with the agent’s well-being can supply the agent with reasons only in virtue of her well-being mattering morally or in virtue of her caring about her own well-being. In both of (...) these cases, the way that such prudential considerations supply reasons for action is a way that the well-being of others can supply reasons for action too. (shrink)

two elements, one can eliminate definitions with a polynomial bound on the increase in proof length. In any classical first-order theory strong enough to code finite functions, including sequential theories, one can also eliminate Skolem functions with a polynomial bound on the increase in proof length.

Elimination of quantifiers is shown to fail dramatically for a group of well‐known mathematical theories (classically enjoying the property) against a wide range of relevant logical backgrounds. Furthermore, it is suggested that only by moving to more extensional underlying logics can we get the property back.

We describe a sequent calculus, based on work of Herbelin, of which the cut-free derivations are in 1-1 correspondence with the normal natural deduction proofs of intuitionistic logic. We present a simple proof of Herbelin's strong cut-elimination theorem for the calculus, using the recursive path ordering theorem of Dershowitz.

From classical, Fraïissé-homogeneous, ($\leq \omega$)-categorical theories over finite relational languages, we construct intuitionistic theories that are complete, prove negations of classical tautologies, and admit quantifier elimination. We also determine the intuitionistic universal fragments of these theories.

Linnebo and Pettigrew have recently developed a version of non-eliminative mathematical structuralism based on Fregean abstraction principles. They recognize that this version of structuralism is vulnerable to the well-known problem of non-rigid structures. This paper offers a solution to the problem for this version of structuralism. The solution involves expanding the languages used to describe mathematical structures. We then argue that this solution is philosophically acceptable to those who endorse mathematical structuralism based on Fregean abstraction principles.

We present a syntactic proof of cut-elimination for weak Grzegorczyk logic Go. The logic has a syntactically similar axiomatisation to Gödel–Löb logic GL (provability logic) and Grzegorczyk’s logic Grz. Semantically, GL can be viewed as the irreflexive counterpart of Go, and Grz can be viewed as the reflexive counterpart of Go. Although proofs of syntactic cut-elimination for GL and Grz have appeared in the literature, this is the first proof of syntactic cut-elimination for Go. The proof is (...) technically interesting, requiring a deeper analysis of the derivation structures than the proofs for GL and Grz. New transformations generalising the transformations for GL and Grz are developed here. (shrink)